Hasse diagrams of basic blocks containing four comparable reducible elements and having nullity four

In $2020$, Bhavale and Waphare introduced the concepts of fundamental basic block and basic block, associated to dismantlable lattices. Further, they have provided the recursive formulae of the number of non-isomorphic fundamental basic blocks as well as basic blocks, containing $r$ comparable reducible elements and having nullity $l$. In this paper, we actually obtain the Hasse diagrams of the basic blocks containing four comparable reducible elements and having nullity four.

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Publication Details

Journal
INTERNATIONAL JOURNAL OF MATHEMATICS AND COMPUTER RESEARCH
Published
2025-04-24
DOI
https://doi.org/10.47191/ijmcr/v13i4.12
Primary Topic
Finite Group Theory Research
Type
article
Field-Weighted Citation Impact
0.00
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article

Hasse diagrams of basic blocks containing four comparable reducible elements and having nullity four

A. N. Bhavale, P. A. Parate, P. H. Tupte, S. V. Shirsath
INTERNATIONAL JOURNAL OF MATHEMATICS AND COMPUTER RESEARCH
Finite Group Theory Research
article

Hasse diagrams of basic blocks containing four comparable reducible elements and having nullity four

A. N. Bhavale, P. A. Parate, P. H. Tupte, S. V. Shirsath
article en

Abstract

In $2020$, Bhavale and Waphare introduced the concepts of fundamental basic block and basic block, associated to dismantlable lattices. Further, they have provided the recursive formulae of the number of non-isomorphic fundamental basic blocks as well as basic blocks, containing $r$ comparable reducible elements and having nullity $l$. In this paper, we actually obtain the Hasse diagrams of the basic blocks containing four comparable reducible elements and having nullity four.

INTERNATIONAL JOURNAL OF MATHEMATICS AND COMPUTER RESEARCHVol. 13(04)
G.S. Science, Arts And Commerce College (IN)
Openalex Percentile: Top 87%
Finite Group Theory Research
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